Note on Ideal Based Zero-Divisor Graph of a Commutative Ring

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ID: 46027
2017
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Abstract
In this paper, we consider the ideal based zero divisor graph ΓI(R) of a commutative ring R. We discuss some graph theoretical properties of ΓI(R) in relation with zero divisor graph. We also relate certain parameters like vertex chromatic number, maximum degree and minimum degree for the graph ΓI(R) with that of Γ(R/I ). Further we determine a necessary and sufficient condition for the graph to be Eulerian and regular.
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Authors A., Mallika;R., Kala;K., Selvakumar;
Journal discussiones mathematicae - general algebra and applications
Year 2017
DOI
DOI not found
URL
http://www.degruyter.com/view/j/dmgaa.2017.37.issue-2/dmgaa.1273/dmgaa.1273.xml?format=INT
Keywords
mathematics

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